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427300237 = 72134116361
BaseRepresentation
bin11001011110000…
…001010110001101
31002210001002201201
4121132001112031
51333342101422
6110222305501
713405664200
oct3136012615
91083032651
10427300237
111aa221aa1
12bb128291
136a6ac7a0
1440a6d937
15277a7727
hex1978158d

427300237 has 24 divisors (see below), whose sum is σ = 548388792. Its totient is φ = 329817600.

The previous prime is 427300201. The next prime is 427300241. The reversal of 427300237 is 732003724.

It can be written as a sum of positive squares in 4 ways, for example, as 8934121 + 418366116 = 2989^2 + 20454^2 .

It is not a de Polignac number, because 427300237 - 211 = 427298189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427300037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17937 + ... + 34297.

It is an arithmetic number, because the mean of its divisors is an integer number (22849533).

Almost surely, 2427300237 is an apocalyptic number.

It is an amenable number.

427300237 is a deficient number, since it is larger than the sum of its proper divisors (121088555).

427300237 is a wasteful number, since it uses less digits than its factorization.

427300237 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16429 (or 16422 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 28.

The square root of 427300237 is about 20671.2417865981. The cubic root of 427300237 is about 753.2012716313.

The spelling of 427300237 in words is "four hundred twenty-seven million, three hundred thousand, two hundred thirty-seven".

Divisors: 1 7 13 41 49 91 287 533 637 2009 3731 16361 26117 114527 212693 670801 801689 1488851 4695607 8720413 10421957 32869249 61042891 427300237